PrepRung
Sign inSign up free

CAT 2019 Slot 2 · Quant · Percentages · medium

In an election between two candidates, 10% of the registered voters did not vote, and 60 of the votes cast were declared invalid. The winner received…

Single correct option

In an election between two candidates, 10% of the registered voters did not vote, and 60 of the votes cast were declared invalid. The winner received 52% of the valid votes and won by 480 votes. How many voters were registered?
  1. A. 13,200
  2. B. 13,400
  3. C. 12,060
  4. D. 13,600
Show answer and solution

Answer: (B) 13,400

Let valid votes = V. Winner 52%, loser 48% → margin 4% of V = 480 → V = 12,000.

Votes cast = valid + invalid = 12,000 + 60 = 12,060.

These are 90% of registered voters → registered = 12,060/0.9 = 13,400.

Trap: 12,060 is the number of votes cast, not registered voters.
Report a mistake

Original question written in the CAT 2019 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake